Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.4 Graphs of the Sine and Cosine Functions - 6.4 Assess Your Understanding - Page 411: 97

Answer

$-\frac{3\pi}{4}, \frac{\pi}{4}, \frac{5\pi}{4}, \frac{9\pi}{4} $

Work Step by Step

Let $tan(x)=1$, we can find a general form of the solutions as $x=k\pi+\frac{\pi}{4}$ where $k$ is an integer. For $k=-1,0,1,2$, we have $x=-\frac{3\pi}{4}, \frac{\pi}{4}, \frac{5\pi}{4}, \frac{9\pi}{4} $
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